David_Jay: "It seems that the Jews and Greeks knew virtually nothing of one another until the Babylonian exile ended, the Hebrews being so insignificant as we were then."
David, I seriously doubt that!
I'm sure you appreciate that 'Greek' people lived on both sides of the Aegean sea. So on the Aegean coast of Asia minor Greek culture prevailed. And, in cities like Miletus, as elites developed, who had sufficient leisure time to think and discuss ideas, we find the first of the so-called Pre-Socratic Greek thinkers like Thales (c.624 – c. 546 BCE). So historians ask, Why Miletus? and the usual answer is that Miletus was on a trade route that linked that city (and others in Asia Minor) with older cultures of Babylon, Egypt, Phoenicia and so on.
Its considered axiomatic that 'ideas travel with trade,' and it so happens that the ancient Palestine area was on both a land and sea trade route that linked Asia Minor to Egypt, (And, as I have posted extensively before, long before that time, the Egyptian Empire controlled the area that encompasses the greater Palestinian area). I think it quite likely that the Israelite/Jews were, as you said, "insignificant,*' but that doesn't mean that the Israelite/Jews did not also pick up ideas of the world as traders passed through the area. For example, I once listened to Professor Boyo Ockinga compare the first chapter of Genesis to Egyptian ideas of creation. I left the lecture convinced that Genesis had been written by someone completely familiar with Egyptian creation concepts.
Then there is the Book of Job, Jewish tradition attributes it to Moses, but today's scholarship see it as being produced much later between the 7th and 4th centuries BCE. And its seen as comparable to "... several texts from ancient Mesopotamia and Egypt (that) offer parallels to Job, and while it is impossible to tell whether the author of Job was influenced by any of them, their existence suggests that the author was the recipient of a long tradition of reflection on the existence of inexplicable suffering.
May I offer one more example. Where do you think the author of Daniel 2 (the dream image) got his imagery of the statue being formed from different metals, metals that became inferior to the previous one (i.e. There's a head of gold - representing Nebuchadnezzar- then breast and arms of silver and so on. (and for the benefit of bible believers, the third on is said to "rule over the whole earth." Surely, a real god in heaven would not say that).
Surely, if you have ever read Hesiod's (usually considered to have lived between 750 and 650 BCE) "Works and Days." you would immediately see the similarity with his five ages of Humanity.**
And, even if a particular Jewish document (i.e.OT) could be demonstrated as being produced at an early date (i.e. by a contemporary writer/observer of certain events) that would not mean that our copies (i.e. as we know the document) had not been redacted at another point in time. Why? Because we there are not many copies/extracts that reach back in time. And we now know that in the Dead Sea Scrolls, modified documents were sometimes being written.
Footnote: https://en.wikipedia.org/wiki/David - that entry notes that some scholarship considers Chronicles and Ruth to be fourth century documents
* My personal view is that Judaism (Jewish thought) only became important, and studied, because it was linked to Christian tradition and mythology. If Christianity had not become important in the western world, then Judaism would be even less important than ancient Babylonian thought.
** Hesiod divides human history into five distinct eras.The initial Age of Gold. then the Age of Silver, Then the Age of Bronze, The The Age of Heroes and finally the Age of Iron.